Geodesic
A~self-similar continuum which is not the attractor of any zipper
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 6 (2009), pp. 510-513.

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The article contains a construction of a self-similar dendrite which is not the attractor of any self-similar zipper.
Keywords: self-similar sets, self-similar dendrites, zippers.
Mots-clés : fractal 
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A. V. Tetenov; O. Purevdorj. A~self-similar continuum which is not the attractor of any zipper. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 6 (2009), pp. 510-513. http://geodesic.mathdoc.fr/item/SEMR_2009_6_a27/

[1] Aseev V. V., “On the regularity of self-similar zippers”, Materials of the 6-th Russian-Korean Int. Symp. on Science and Technology, KORUS-2002. Part 3, Abstracts (June 24–30, 2002. Novosibirsk State Techn. Univ., Russia), 167

[2] Astala K., “Self-similar zippers”, Holomorph. Funct. and Moduli, Proc. Workshop (March 13–19, 1986), v. 1, New York, 1988, 61–73 | MR | Zbl

[3] Kigami J., Analysis on fractals, Cambridge University Press, 2001 | MR | Zbl

[4] Kuratowski K., Topology, v. 2, Academic Press, 1968 | Zbl

[5] Thurston W. P., “Zippers and univalent functions”, The Bieberbach Conjecture, Math. Surveys, 21, Am. Math. Soc., Providence, R.I., 1986, 185–197 | MR

[6] Aseev V. V., Kravtchenko A. S., Tetenov A. V., “On self-similar curves in the plane”, Siberian Math J., 44:3 (2003), 481–492 | DOI | MR | Zbl

[7] Hutchinson J., “Fractals and self-similarity”, Indiana Univ. Math. J., 30:5 (1981), 713–747 | DOI | MR | Zbl